Examine whether you can construct ADEF such that EF = 7.2 cm, m<E=110° and m F = 80". Justify your answer.
Answers
Answered by
3
Answer:
In △DEF:
∠E=110
∘
,∠F=80
∘
,∠EF=7.2 cm
∠E+∠F+∠D=180
∘
∠D=180
∘
−110
∘
−80
∘
=−10
∘
As angle cannot be negative, so this △ can not be constructed.
Step-by-step explanation:
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Answered by
207
Answer:
Given that,
m&E = 110° and m&F = 80*
Therefore,
m₂E+ m₂F = 110° +80° = 190°
- However, according to the angle sum property of triangles, we should obtain
m₂E+m₂F+m<D = 180°
- Therefore, the angle sum property is not followed by the given triangle. And thus, we cannot construct ADEF with the given measurements.
- Also, it can be observed that point D should lie on both rays, EX and FY, for constructing the required triangle. However, both rays are not intersecting each other. Therefore, the required triangle cannot be formed.
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